The quaternion-based three-dimensional beam theory

Zupan, Eva (avtor), Saje, Miran (avtor), Zupan, Dejan (avtor)

This paper presents the equations for the implementation of rotational quaternions in the geometrically exact three-dimensional beam theory. A new finite-element formulation is proposed in which the rotational quaternions are used for parametrization of rotations along the length of the beam. The formulation also satisfies the consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal in its weak form. A strict use of the quaternion algebra in the derivation of governing equations and for the numerical solution is presented. Several numerical examples demonstrate the validity, performance and accuracy of the proposed approach. (C) 2009 Elsevier B.V. All rights reserved.

• Jezik: Angleški jezik
• Ključne besede: quaternions, three-dimensional beam, three-dimensional rotation, interpolation of rotations
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Založnik: Elsevier
• Leto izida: 2009
• Št. strani: Str. 3944-3956
• Številčenje: Letn. 198, št. 49/52
• PID: 20.500.12556/RUL-32141
• UDK: 624.072.2
• ISSN pri članku: 0045-7825
• DOI: 10.1016/j.cma.2009.09.002
• COBISS.SI-ID: 4800353
• Datum objave v RUL: 10.07.2015

Gradivo je del revije

• Naslov: Computer methods in applied mechanics and engineering
• Skrajšan naslov: Comput. methods appl. mech. eng.
• Založnik: Elsevier
• ISSN: 0045-7825
• COBISS.SI-ID: 6695685

Sekundarni jezik

• Jezik: Angleški jezik
• Ključne besede: kvaternioni, prostorski nosilci, prostorske rotacije, interpolacija rotacij